Accelerating the pace of engineering and science

csc

Cosecant of input angle in radians

Description

example

Y = csc(X) returns the cosecant of the elements of X. The csc function operates element-wise on arrays. The function accepts both real and complex inputs. For real values of X in the interval [-Inf, Inf], csc returns real values in the interval [-Inf ,-1] and [1,Inf]. For complex values of X, csc returns complex values. All angles are in radians.

Examples

expand all

Plot Cosecant Function

Plot the cosecant function over the domain and as shown.

x1 = -pi+0.01:0.01:-0.01;
x2 = 0.01:0.01:pi-0.01;
plot(x1,csc(x1),x2,csc(x2)), grid on


Cosecant of Vector of Complex Angles

Calculate the cosecant of the complex angles in vector x.

x = [-i pi+i*pi/2 -1+i*4];
y = csc(x)

y =

0.0000 + 0.8509i   0.0000 + 0.4345i  -0.0308 - 0.0198i



Input Arguments

expand all

X — Input angle in radiansnumber | vector | matrix | multidimensional array

Input angle in radians, specified as a number, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

Output Arguments

expand all

Y — Cosecant of input anglescalar value | vector | matrix | N-D array

Cosecant of input angle, returned as a real-valued or complex-valued scalar, vector, matrix or N-D array.

expand all

Cosecant Function

The cosecant of an angle, α, defined with reference to a right angled triangle is

The cosecant of a complex angle, α, is

$\text{cosecant}\left(\alpha \right)=\frac{2i}{{e}^{i\alpha }-{e}^{-i\alpha }}\text{\hspace{0.17em}}.$